{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 独立同一分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.279569Z",
     "start_time": "2018-08-14T09:40:52.994790Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "np.random.seed(0)\n",
    "%precision 3\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.292755Z",
     "start_time": "2018-08-14T09:40:53.280711Z"
    }
   },
   "outputs": [],
   "source": [
    "linestyles = ['-', '--', ':', '-.']\n",
    "\n",
    "def E(XY, g):\n",
    "    x_set, y_set, f_XY = XY\n",
    "    return np.sum([g(x_i, y_j) * f_XY(x_i, y_j)\n",
    "                   for x_i in x_set for y_j in y_set])\n",
    "\n",
    "def Cov(XY):\n",
    "    x_set, y_set, f_XY = XY\n",
    "    mean_X = E(XY, lambda x, y: x)\n",
    "    mean_Y = E(XY, lambda x, y: y)\n",
    "    return np.sum([(x_i-mean_X) * (y_j-mean_Y) * f_XY(x_i, y_j)\n",
    "                    for x_i in x_set for y_j in y_set])\n",
    "\n",
    "def f_X(x):\n",
    "    return np.sum([f_XY(x, y_k) for y_k in y_set])\n",
    "\n",
    "def f_Y(y):\n",
    "    return np.sum([f_XY(x_k, y) for x_k in x_set])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 独立性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 独立性の定義"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 独立性と無相関性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.299797Z",
     "start_time": "2018-08-14T09:40:53.294182Z"
    }
   },
   "outputs": [],
   "source": [
    "x_set = np.array([1, 2, 3, 4, 5, 6])\n",
    "y_set = np.array([1, 2, 3, 4, 5, 6])\n",
    "\n",
    "def f_XY(x, y):\n",
    "    if x in x_set and y in y_set:\n",
    "        return x * y / 441\n",
    "    else:\n",
    "        return 0\n",
    "    \n",
    "XY = [x_set, y_set, f_XY]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.307053Z",
     "start_time": "2018-08-14T09:40:53.301020Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.000"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Cov(XY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.313369Z",
     "start_time": "2018-08-14T09:40:53.308083Z"
    }
   },
   "outputs": [],
   "source": [
    "x_set = np.array([0, 1])\n",
    "y_set = np.array([-1, 0, 1])\n",
    "\n",
    "def f_XY(x, y):\n",
    "    if (x, y) in [(0, 0), (1, 1), (1, -1)]:\n",
    "        return 1 / 3\n",
    "    else:\n",
    "        return 0\n",
    "    \n",
    "XY = [x_set, y_set, f_XY]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.318027Z",
     "start_time": "2018-08-14T09:40:53.314593Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.000"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Cov(XY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.322284Z",
     "start_time": "2018-08-14T09:40:53.318962Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.111, 0.333)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f_X(0) * f_Y(0), f_XY(0, 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 和の分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 正規分布の和の分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.411944Z",
     "start_time": "2018-08-14T09:40:53.323291Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.003, 4.996)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rv1 = stats.norm(1, np.sqrt(2))\n",
    "rv2 = stats.norm(2, np.sqrt(3))\n",
    "\n",
    "sample_size = int(1e6)\n",
    "X_sample = rv1.rvs(sample_size)\n",
    "Y_sample = rv2.rvs(sample_size)\n",
    "\n",
    "sum_sample = X_sample + Y_sample\n",
    "\n",
    "np.mean(sum_sample), np.var(sum_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.618862Z",
     "start_time": "2018-08-14T09:40:53.412902Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "rv = stats.norm(3, np.sqrt(5))\n",
    "xs = np.linspace(rv.isf(0.995), rv.isf(0.005), 100)\n",
    "\n",
    "ax.hist(sum_sample, bins=100, density=True,\n",
    "        alpha=0.5, label='N(1, 2) + N(2, 3)')\n",
    "ax.plot(xs, rv.pdf(xs), label='N(3, 5)', color='gray')\n",
    "ax.plot(xs, rv1.pdf(xs), label='N(1, 2)', ls='--', color='gray')\n",
    "ax.plot(xs, rv2.pdf(xs), label='N(2, 3)', ls=':', color='gray' )\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlim(rv.isf(0.995), rv.isf(0.005))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ポアソン分布の和の分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.765074Z",
     "start_time": "2018-08-14T09:40:53.619883Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6.999, 6.990)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rv1 = stats.poisson(3)\n",
    "rv2 = stats.poisson(4)\n",
    "\n",
    "sample_size = int(1e6)\n",
    "X_sample = rv1.rvs(sample_size)\n",
    "Y_sample = rv2.rvs(sample_size)\n",
    "sum_sample = X_sample + Y_sample\n",
    "\n",
    "np.mean(sum_sample), np.var(sum_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:53.913264Z",
     "start_time": "2018-08-14T09:40:53.766453Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "rv = stats.poisson(7)\n",
    "xs = np.arange(20)\n",
    "hist, _ = np.histogram(sum_sample, bins=20,\n",
    "                       range=(0, 20), normed=True)\n",
    "\n",
    "ax.bar(xs, hist, alpha=0.5, label='Poi(3) + Poi(4)')\n",
    "ax.plot(xs, rv.pmf(xs), label='Poi(7)',  color='gray')\n",
    "ax.plot(xs, rv1.pmf(xs), label='Poi(3)', ls='--', color='gray')\n",
    "ax.plot(xs, rv2.pmf(xs), label='Poi(4)', ls=':',  color='gray')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlim(-0.5, 20)\n",
    "ax.set_xticks(np.arange(20))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ベルヌーイ分布の和の分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:54.154470Z",
     "start_time": "2018-08-14T09:40:53.914350Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.999, 2.095)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = 0.3\n",
    "rv = stats.bernoulli(p)\n",
    "\n",
    "sample_size = int(1e6)\n",
    "Xs_sample = rv.rvs((10, sample_size))\n",
    "sum_sample = np.sum(Xs_sample, axis=0)\n",
    "\n",
    "np.mean(sum_sample), np.var(sum_sample)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:54.284470Z",
     "start_time": "2018-08-14T09:40:54.155665Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "rv = stats.binom(10, p)\n",
    "xs = np.arange(10)\n",
    "hist, _ = np.histogram(sum_sample, bins=10,\n",
    "                       range=(0, 10), normed=True)\n",
    "ax.bar(xs, hist, alpha=0.5, label='10個のBern(0.3)の和')\n",
    "ax.plot(xs, rv.pmf(xs), label='Bin(10, 0.3)')\n",
    "ax.legend()\n",
    "ax.set_xlim(-0.5, 10)\n",
    "ax.set_xticks(np.arange(10))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 標本平均の分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 正規分布の標本平均の分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:54.686791Z",
     "start_time": "2018-08-14T09:40:54.285713Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.000, 0.199)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean = 1\n",
    "var = 2\n",
    "rv = stats.norm(mean, np.sqrt(var))\n",
    "\n",
    "n = 10\n",
    "sample_size = int(1e6)\n",
    "Xs_sample = rv.rvs((n, sample_size))\n",
    "sample_mean = np.mean(Xs_sample, axis=0)\n",
    "\n",
    "np.mean(sample_mean), np.var(sample_mean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:54.906777Z",
     "start_time": "2018-08-14T09:40:54.687732Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "rv_true = stats.norm(mean, np.sqrt(var/n))\n",
    "xs = np.linspace(rv_true.isf(0.999), rv_true.isf(0.001), 100)\n",
    "ax.hist(sample_mean, bins=100, density=True,\n",
    "        alpha=0.5, label='10個のN(1, 2)の標本平均')\n",
    "ax.plot(xs, rv_true.pdf(xs), label='N(1, 0.2)', color='gray')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlim(rv_true.isf(0.999), rv_true.isf(0.001))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ポアソン分布の標本平均の分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:55.621929Z",
     "start_time": "2018-08-14T09:40:54.907957Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.999, 0.300)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "l = 3\n",
    "rv = stats.poisson(l)\n",
    "\n",
    "n = 10\n",
    "sample_size = int(1e6)\n",
    "Xs_sample = rv.rvs((n, sample_size))\n",
    "sample_mean = np.mean(Xs_sample, axis=0)\n",
    "\n",
    "np.mean(sample_mean), np.var(sample_mean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:40:55.798693Z",
     "start_time": "2018-08-14T09:40:55.623108Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAFoCAYAAAB+Cg5cAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3XtwldX97/H3UpHgiMSCTgb51VhpqFgjchE8pUhVvFTa0x8oauvRViFFrY5aO9pxaludVmZOC9bRVlDxUkePQo+d1joV8FY5BRtiBVHk4o9AKadFIqEqd7vOHwn7kGSH7CQre+fyfs0wk+fJd+/nu1d2Np+s5xZijEiSJKl9Dil0A5IkSd2BoUqSJCkBQ5UkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpgcMKsdFPfepT8TOf+UwhNt1j7dmzh8MPP7zQbfQojnn+Oeb555jnn2Oef1VVVVtjjMe0VFeQUDVo0CCWLVtWiE33WNXV1ZSWlha6jR7FMc8/xzz/HPP8c8zzL4SwIZc6d/9JkiQlYKiSJElKwFAlSZKUQEGOqZIkKbW9e/eyadMmdu3aVehWOtS+fftYtWpVodvoloqKihg0aBC9evVq0+MNVZKkbmHTpk307duX0tJSQgiFbqfD7N69m969exe6jW4nxkhNTQ2bNm3ihBNOaNNzuPtPktQt7Nq1i/79+3frQKWOE0Kgf//+7ZrpNFRJkroNA5Xao73vH0OVJEl59uSTTxa6hYwPPviASZMmsXv37mZrrrzySlavXp3HrtKrra3t8G0YqiRJSuSpp55iwIAB7Nq1ixgj06ZNY/jw4dxxxx2ZmjfffJO33nqLwYMHM378+Ab/jj32WPbt25fz9h599FEGDx7M6NGjueCCC/jwww8PWn/xxRc3WXfrrbfywx/+kN69e/PRRx/x5S9/mbFjx3L22Wfzj3/8A4CZM2dy44035txXY5dffjnz589n/PjxlJaWMmbMGEpKShg/fjwzZsxoUv/uu+8yffr0rM914403Nhm3A/+9+eabmdrzzz8fgE8++YRzzz23zf3nygPVJUnd0qyFa5I+300Tylqs6du3L0OGDAFg6dKl7Nq1i2XLljFw4ECmT5/OwIEDeeaZZ5gyZQpr165l/vz5PPfccxx11FGMGzeOSy+9tMHzbd26lZkzZ7JixQr27NnDMcccw/Tp0/niF7+YqbnllluYPn06s2bN4te//jXXXntts/3NmzevwfL777/P5s2bOfXUU4G62ZwZM2ZQXl7OT37yE1599VUuueQS+vfvT1lZGUuXLmXMmDENnuOJJ57gj3/8I+vWrWPgwIGce+65TJ06lcMOO4x//etfvPPOO2zdupXy8nImTpzIggULGDVqFAsWLGDixIlcdNFFLY7rgWbNmsXy5csZNmwYK1eu5L777uOBBx5g9erVfPLJJwwdOrTJYxYsWMD69es555xzMutuvfVWJkyY0Kptt8SZKkmSEpk4cWLmdPyqqiq+9KUvsWLFCsaOHctf//pX9uzZw2OPPcZnP/tZAM4++2y+973vcd111zF+/PgGz7V+/XouvfRSJk2axIQJE5g2bRr33nsvM2fO5Le//W2Tbe/atStzVuB1113HGWecQUVFRYOaxoHopZde4uyzz84sDxo0iN69ezNixAgWLlzIpEmTMt8777zzWLBgQWY5xshVV13Ftm3b+MUvfsGAAQOYN28evXr14utf/zoAH330EYsWLeKDDz6gurqaqqoqRo4cyUUXXcTJJ59MUVER7777LgBjx47N/Dv//PN5+OGHG6ybO3cuUHfc0/XXX88///nPBq/lvvvuY+vWrQBs27aN2267jTVr1nDbbbdx2223sWTJEhYtWsSiRYu44oor2LJly8F+lG1iqJIkqQNs376dAQMGsGXLFsaPH8/27dt58MEHG+zee/HFF7n99tu5++67eeWVVxo8/oYbbuChhx5i5MiRvP322wwdOpT+/fsze/Zs7rzzzkzdzJkzOeecc9iyZQtXXHEFlZWV7NixgyVLlnDIIYewePHiZnvcuHEjxx9/fIN1Q4YMyQTCZ599NrP++OOPZ8OG/38LvCeffJKysjKuv/56Vq9ezUknncShhx7K1VdfzSGHHEJlZSUDBw7k2GOPZdu2bZSVlbFx40Zee+01brzxRtatW8fTTz9NcXExAIsXL2bx4sW8+uqrDBkyhNLSUqZPn55Zf9VVV2W2PXXqVB555JHM8o4dO3jrrbcYN24cAEcffTQzZsygrKyMKVOm8LWvfY2pU6cyfvx45syZw759+zj00ENz+TG2irv/JEnqAP369WP37t0MHTqUqqoqTjjhBDZv3swFF1yQqbnrrrv4/e9/D8CKFSsy67dt20aMkdLSUmKMvPnmm5ndiv369WPHjh2Z2ptvvrnB8Ufvvfcew4cPB2D48OGsXbuWsWPHNtvngWe8rV+/niOPPJJjjjmGr371q8yZM4cpU6YAdTNTB9bOmzePOXPmAPDCCy802CU5ZMgQ1q9fz6hRo6iqqmLw4ME88sgjXHPNNZnZpP0+//nPN1i+4447mDx5MitWrGDBggUMGjSoySzepEmTWLt2bWZ59+7d/PSnP836+oYPH54Zj/1mz57dIdf6MlRJ6jYeqdxC8do9DdblchyM1BFGjBjBb37zGy6++GL+9Kc/ceWVV3LhhRfyzW9+M1Oze/dunnnmGfbt28cTTzyRWf/JJ59k/tN/7bXXGDVqFIcdVvdf9rZt2w4aCE488cTMbrrly5dnPTh9v9LSUqqrqzPLr7/+OqtWreLHP/4xb7zxRoOLYG7YsKHBrNbevXvp06cPMUaef/55br/99sz33nrrLb7yla+wZMkSPv3pT/Pxxx9zyimncN999zXp4W9/+xs///nPAbjnnnvYs2cPZ511FitWrOCXv/wlEydO5LLLLqOiooLly5c3OGD+448/5u9//3tmFyLAsGHDuOeeewD497//zdy5cznnnHM47rjjeP7551m0aBGlpaUcccQRzY5LWxmqJHVqzR1sbFhSZzdmzBgefvhhRo8ezXnnncfAgQOb1IwcOZLZs2cDcMYZZ2TCwYABA6ipqeG9997jRz/6Effffz8AH374Id/+9rcPeibeqFGjePTRRzn99NP53Oc+x5lnntls7VlnncWVV17JzTffDMDkyZO5+uqrGTduHP379+exxx7L1L7wwgtcfvnlmeVzzz2Xxx9/nBgj5513HocffjgAjz/+OB988AEjRozgL3/5C9dddx3f+c53uOiiizjqqKPo378/d999Nz/4wQ9Yt24dkydPZu/evUybNo1DDz2UPn36cMUVV7Bx40beffddZsyYwc9+9jNqa2u59dZbG+wmPfBA9QPt2LGDuXPnsmrVKj766COefvpp5s6dy8SJE/n+97/Pfffdx9FHH93suLSVoUqSpIQO/E//oYcearZu+fLlDa6dVFlZycqVKzPL9957L9OmTWPq1Kkcf/zxTJs2jcrKSqZPn863vvUtgAazXgfaH8IaW7p0aYPl/v37c9xxx7FixQrKy8vp1asXjz/+eJPH1dTUsG7dOk4//fTMumuvvTaz2/FXv/oVDz30EI888giDBw/m2WefJYTA6NGjM/WbNm3irrvuysyinXLKKcycOZOioiIuvPBCvvGNb2TOxnv33Xe55557MmFp/vz57NnTcBa6Jbt37+add96hb9++bNiwgRtuuCEzw/fee+9lDbntZaiSJHVLnX0289RTT2X+/PkN1h14SYXy8nJeeumlzPItt9xCWVlZq8NFS+6++26mTp3KU0891exuxZtvvplZs2Y1WNerVy8efvjhzPIFF1zAJZdcQt++fbM+x8svv8z999/PNddcw6ZNmzjkkEOYPXs2b7zxBkCLlzfYPxOWiyOOOILvfve7meX9uy2nTJlCdXU1AwcOZNCgQTk/X65CjDH5k7akvLw8HnhAnjpedXU1paWlhW6jR3HM02jN7r8fzvtL5kyig9Upnc70Pl+1ahUnnXRSodvocN5QuWNlex+FEKpijCNbeqyXVJAkSUrAUCVJ6jYKsfdF3Ud73z+GKklSt1BUVERNTY3BSm0SY6SmpoaioqI2P4cHqkuSuoVBgwaxadMm3n///UK30qH27duXuWaV0ioqKmrXAez+VCRJ3UKvXr0aXKyyu+pMJweoIUOVpG4t29mDnhEoqSMYqiQVhGFHUnfjgeqSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBFoMVSGEy0IIW0MIWe8wGELoHUJ4MoSwOITwuxBC7/RtSpIkdW65zFR9CKw+yPcvBt6MMY4F1gLnpWhMkiSpK2kxVMUYnwP2HqRkOfBk/df7gK0J+pIkSepS2n3vvxjjWwAhhK8B/WKMf253V5IkSV1MkhsqhxAuB4YB1xykpgKoACgpKaG6ujrFppWjmpqaQrfQ4zjmB1dbW9tkXbbPhWx1zdXu3Lkjp237+ZOO7/P8c8w7r3aHqhDC8cDkGON/HqwuxjgHmANQXl4eS0tL27tptZJjnn+OefOK1+5psi7beGWra662T+UWiouLW9y2P5e0HM/8c8w7pxSXVLgaOKX+7L/FIYQrEjynJElSl5LTTFWMcTxkZqXeA86OMb5a/707gDs6qkFJkqSuoLW7/zZTd+zU+g7oRZIkqctqVaiKMe4FVnZQL5JUMLMWrsm6/qYJZXnuRFJX5W1qJEmSEkhySQVJ2i/bjI+zPZJ6AmeqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQFDlSRJUgKGKkmSpAQMVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrAUCVJkpSAoUqSJCkBQ5UkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJXBYoRuQpK5m1sI1TdbdNKGsAJ1I6kycqZIkSUrAUCVJkpSAu/8ktcjdXZLUMmeqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQFDlSRJUgI5haoQwmUhhK0hhKJmvh9CCA+GEN4IIdyZtkVJkqTOL9eZqg+B1Qf5/higCBgJVIQQBra3MUmSpK4kp1AVY3wO2HuQkhHAy0A5sBg4rf2tSZIkdR2pjqnqB2wFjgVeqV+WJEnqMVLdpmY70Bt4h7pZq/WNC0IIFUAFQElJCdXV1Yk2rVzU1NQUuoUepzuNeW1tbZN1zf0O51rbnrrmanfu3JG1NvV2WjMe3V13ep93FY5555UqVFUBk2OM80II44DHGhfEGOcAcwDKy8tjaWlpok0rV455/nWXMS9eu6fJuuZeW6617alrrrZP5RaKi4uz1qfcTmvGoyfoya+9UBzzzinV7r+lQHEI4XWgMsa4OdHzSpIkdQk5z1TFGMcDhBCOB94Dzo4xvlr/vQhM7YgGJUmSuoK27P7bDAwjy3FTkiRJPVWrQ1WMcS+wsgN6kSRJ6rK8TY0kSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUQKp7/0mSGpm1cE2TdTdNKCtAJ5LywZkqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQGvUyWpgWzXVpIktcyZKkmSpAQMVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrAUCVJkpSAoUqSJCkBQ5UkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSsBQJUmSlECLoSrUeTCE8EYI4c5maj4VQvh9COG1EML8EEKf9K1KkiR1XrnMVI0BioCRQEUIYWCWmsuAP8QYvwh8BJycrkVJkqTO77AcakYALwPlwGLgNGBzo5q1wB9CCDcDK2KMy5J2KUnd3KyFa5qsu2lCWQE6kdRWucxU9QO2AscCr9QvN7YWGB9jLAPeDyGck6xDSZKkLiCXmartQG/gHepmrdZnqfkpcE39178DvgAsOrAghFABVACUlJRQXV3dto7VJjU1NYVuocfpqmNeW1ubU11zv8PZHp+ttj11zdXu3Lkja23q7aR+ja2t7Uy66vu8K3PMO69cQlUVMDnGOC+EMA54rJm6/wY8D5wBNJnHjjHOAeYAlJeXx9LS0jY1rLZzzPOvK4558do9OdU199qyPT5bbXvqmqvtU7mF4uLirPUpt5P6Nba2trPpKn12J45555TL7r+lQHEI4XWgMsbY+HgqgB8Bt4cQ/gz8B/B0uhYlSZI6vxZnqmKMEZi6fzmEcCbwInBijHFDfc1q6nb5SZIk9UhtufjnMmAYTc8AlCRJ6rFyOaaqgRjjx8DKDuhFkiSpy/I2NZIkSQkYqiRJkhJo9e4/SV2TV+yWpI7lTJUkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQFDlSRJUgKGKkmSpAQMVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrgsEI3IEnKbtbCNU3W3TShrACdSMqFM1WSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSqDFGyqHEAIwBxgBPBdjvKOZunuBMcCbMcaKpF1Kysob7kpS55HLTNUYoAgYCVSEEAY2LgghfAHYHmM8vW4xnJy2TUmSpM4tl1A1AngZKAcWA6dlqZkA9AohvARsjjG+na5FSZKkzq/F3X9AP2AjcCzwSv1yYyXArhjjWSGEZ0IIo2KMlQcWhBAqgAqAkpISqqur29O3WqmmpqbQLfQ4+Rjz2traJuua+93KtTZbXTYdsZ3W9JOtdufOHVlrU28n9Ws82PZzfXyh+NmSf45555VLqNoO9AbeoW7Wan2Wmo+om8UCeBUYCjQIVTHGOdQdm0V5eXksLS1tW8dqM8c8/zp6zIvX7sl5m7nWZqvLpiO205p+stX2qdxCcXFx1vqU20n9Gg+2/VwfX0idsafuzjHvnHLZ/VcFjI4xrgPGAX/NUrMUGF3/9XBgdZr2JEmSuoZcQtVSoDiE8DpQGWPcnKXmt8CgEMKfgdoY49KUTUqSJHV2Le7+izFGYOr+5RDCmcCLwIkxxg31NfuA/9FRTUqSJHV2bbn45zJgGJBtxkqSJKlHyuVA9QZijB8DKzugF0mSpC7L29RIkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBFp9SQVJUucya+GarOtvmlCW506kns2ZKkmSpAQMVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrAUCVJkpSAoUqSJCkBQ5UkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRxW6AYkNTVr4Zom626aUFaATiRJuXKmSpIkKQFDlSRJUgKGKkmSpAQMVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrA61RJUg/iNdCkjuNMlSRJUgKGKkmSpAQMVZIkSQm0GKpCnQdDCG+EEO5sofaWEMLSdO1JkiR1DbnMVI0BioCRQEUIYWC2ohDCycCQhL1JkiR1GbmEqhHAy0A5sBg4rXFBCKEX8BPglqTdSZIkdRG5hKp+wFbgWOCV+uXG7gB+EWPcnq41SZKkriOX61RtB3oD71A3a7U+S80FwBdDCD8EhoYQvhdj/J8HFoQQKoAKgJKSEqqrq9vTt1qppqam0C30OO0Z89ra2ibrsv3O5FrX3ufMpiO205p+stXu3Lkja23q7eTr59OeflL0lAs/W/LPMe+8cglVVcDkGOO8EMI44LHGBTHGkfu/DiEsbRyo6mvmAHMAysvLY2lpaZubVts45vnX1jEvXrsnp+fKta69z5lNR2ynNf1kq+1TuYXi4uKs9Sm3k6+fT3v6SdFTrvxsyT/HvHPKZfffUqA4hPA6UBlj3NzBPUmSJHU5Lc5UxRgjMHX/cgjhTOBF4MQY44Ys9WOSdihJktQFtOXin8uAYYAzVpIkSfVafUPlGOPHwMoO6EWSJKnL8jY1kiRJCRiqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQFDlSRJUgKGKkmSpARaffFPSenMWrim0C1IkhJxpkqSJCkBQ5UkSVIC7v6TJDWRbdf0TRPKCtCJ1HU4UyVJkpSAoUqSJCkBQ5UkSVIChipJkqQEDFWSJEkJGKokSZISMFRJkiQlYKiSJElKwFAlSZKUgKFKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKYHDCt2AJKlrmLVwTZN1tbW1/Li0NP/NSJ2QM1WSJEkJGKokSZIScPef1AFmLVxDbW0txWv3ZNbdNKGsgB1JkjqaM1WSJEkJGKokSZISMFRJkiQlYKiSJElKoMVQFeo8GEJ4I4RwZzM1nwoh/D6EsCSE8HAIIaRvVZIkqfPKZaZqDFAEjAQqQggDs9RcC/w6xngGUAyckq5FSZKkzi+XSyqMAF4GyoHFwGnA5kY1LwKr6r/eA2xL1aAkSVJXkEuo6gdsBI4FXqlfbiDGuAQghHAtsCrG+LeEPUqSJHV6uYSq7UBv4B3qZq3WZysKIdwG7I4xNnfcVQVQAVBSUkJ1dXVb+lUb1dTUFLqFHqW2tpadO3c0WJftPV9bW5vzc+b6+OZ+t3KtzbWnjthOa/rJVtt4zJvT3u2kfo0H235bt9PennLtZ+fOHX6e55mf551XLqGqCpgcY5wXQhgHPNa4IIRwBvDpGOO1zT1JjHEOMAegvLw8lnoDzrxzzPNn/5XUi4uLM+uyjf+BV1xvSa6Pb+7nnGttrj11xHZa00+22j6VWxqMeXPau53Ur/Fg22/rdtrbU3vfm+pYjnnnlMuB6kuB4hDC60BljLHx8VQA1wBnhhAW1/87N2mXkiRJnVyLM1UxxghM3b8cQjiTugPTT4wxbqivuaLDOpQkSeoC2nJD5WXAMJqeAShJElB3U/HGvKm4urtWh6oY48fAyg7oRZIkqcvyNjWSJEkJGKokSZISMFRJkiQlYKiSJElKoC1n/0k9lmc0SZKa40yVJElSAoYqSZKkBAxVkiRJCRiqJEmSEjBUSZIkJWCokiRJSsBLKkiSCsbLlKg7caZKkiQpAUOVJElSAoYqSZKkBAxVkiRJCRiqJEmSEvDsP/V4nn0kSUrBmSpJkqQEDFWSJEkJuPtPktQluKtenZ0zVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrAUCVJkpSAoUqSJCkBL6mgbsvTr6Weyd99FYozVZIkSQkYqiRJkhIwVEmSJCVgqJIkSUrAA9UlSd2eB68rHwxV6hayfWBKkpRP7v6TJElKwJkqSZIO4K5CtZUzVZIkSQk4U6VOy78WJUldSYuhKoQQgDnACOC5GOMdWWp6A/8LKAUeiDHOTtynJEmdin/4qbFcZqrGAEXASGBzCOGBGOPmRjWTgJXAN4H/CiE8GmPcnbRTSZK6oObOTjaAdT+5hKoRwMtAObAYOA1oHKpGAM9TF8CWAoOBt9O1qe7Ev+4kKTs/H7u2XEJVP2AjcCzwSv1ytpqtQAmwqpkadUG5/oL7l5gkdYzGn6+1tbX8uLQ0p1rwczifQozx4AUhfAf4J/BX4GJgRYzxD41qfkbdTNXbwJ3AvTHGtxvVVAAV9Yufp253ofJnAHXBV/njmOefY55/jnn+Oeb5NyTG2LelolxmqqqAyTHGeSGEccBjzdQMpW4mqxxY17ggxjiHugPeCSEsizGOzGHbSsQxzz/HPP8c8/xzzPPPMc+/EMKyXOpyuU7VUqA4hPA6UJnlIHWAZ4Gz62s9SF2SJPU4Lc5Uxbr9g1P3L4cQzgReBE6MMW6or9kF/GdHNSlJktTZteWK6suAYTQ9A7A15rTjsWobxzz/HPP8c8zzzzHPP8c8/3Ia8xYPVJckSVLLvPefJElSAnkNVaHOgyGEN0IId+Zz2z1ZCOGyEMLWEEJRoXvpCUIIvUMIT4YQFocQfld/Gyd1oBDCkSGE5+vH/MUQQkmhe+opQggXhRD+b6H76AlCCCeHEDbWv88XhxAGF7qnniCEcFsIoTKE8GwI4aDHoud7purAW95UhBAG5nn7PdWHwOpCN9GDXAy8GWMcC6wFzitwPz1BMXBb/Zi/BJxZ4H56hPrwehnwt0L30kMcCcyNMY6t/9fk8kVKK4QwCDgpxjgKeAOYcLD6fIeqbLe8UQeLMT4H7C10Hz3IcuDJ+q/34UX6OlyMcROwO4RQRd2H3v8ucEs9xc+Bm4F/F7qRHuJI4IIQwv8JIfzWWfC8OAfYHkJYABwHvHCw4nyHqv23sznYLW+kLi3G+FaMcVMI4WtAvxjjnwvdU08QY1wdY9z/h5uXeOlgIYRpwIL9l9ZRXmyl7lqQX6Duj7cpBe6nJygB/iPGeC7wL2DywYrzHaq2A72B/wL61i9L3U4I4XJgLHBNoXvpCUIIJ4QQjqlf/B3wpUL200P8d+BbIYRXgKEhhJ8XuJ9uL8a4PMb4q/rF14ETC9lPD/ER8Gr9169Sd/eYZuU7VFUBo+v3A4+j7n6CUrcSQjieuls73RK9Zkm+jAa+U//1cGB9AXvpEWKME2OM42OM44F3YozfLXRP3V39SUfT6xfH4LGy+bCEus8XqPtsOeiY5ztU5XLLG6mruxo45YAzdK4odEM9wG+AE0IIfwImAg8UuB+pIzwLfDmEsBQYAswrcD/dXoyxCtgcQlgCDAbmH6zei39KkiQl4MU/JUmSEjBUSZIkJWCokiRJSsBQJUmSlIChSpIkKQFDlSRJUgKGKkmSpAQH6NOQAAAADElEQVQMVZIkSQn8PyROkR3gf3SSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "ax.hist(sample_mean, bins=100, density=True,\n",
    "        alpha=0.5, label='10個のPoi(3)の標本平均')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlim(0, 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 中心極限定理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:41:02.614573Z",
     "start_time": "2018-08-14T09:40:55.799969Z"
    }
   },
   "outputs": [],
   "source": [
    "l = 3\n",
    "rv = stats.poisson(l)\n",
    "\n",
    "n = 10000\n",
    "sample_size = 10000\n",
    "Xs_sample = rv.rvs((n, sample_size))\n",
    "sample_mean = np.mean(Xs_sample, axis=0)\n",
    "\n",
    "rv_true = stats.norm(l, np.sqrt(l/n))\n",
    "xs = np.linspace(rv_true.isf(0.999), rv_true.isf(0.001), 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:41:02.813719Z",
     "start_time": "2018-08-14T09:41:02.615833Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "ax.hist(sample_mean, bins=100, density=True,\n",
    "        alpha=0.5, label='10000個のPoi(3)の標本平均')\n",
    "ax.plot(xs, rv_true.pdf(xs), label='N(3, 3/10000)', color='gray')\n",
    "\n",
    "ax.legend()\n",
    "ax.set_xlim(rv_true.isf(0.999), rv_true.isf(0.001))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 大数の法則"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:41:02.860782Z",
     "start_time": "2018-08-14T09:41:02.814918Z"
    }
   },
   "outputs": [],
   "source": [
    "p = 1/6\n",
    "rv = stats.bernoulli(p)\n",
    "\n",
    "n = int(1e5)\n",
    "sample = rv.rvs((n, 4))\n",
    "space = np.linspace(100, n, 50).astype(int)\n",
    "plot_list = np.array([np.mean(sample[:sp], axis=0)\n",
    "                      for sp in space]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-08-14T09:41:02.945010Z",
     "start_time": "2018-08-14T09:41:02.861733Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "for pl, ls in zip(plot_list, linestyles):\n",
    "    ax.plot(space, pl, ls=ls, color='gray')\n",
    "ax.hlines(p, -1, n, 'k')\n",
    "ax.set_xlabel('サンプルサイズ')\n",
    "ax.set_ylabel('標本平均')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": "block",
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
